layout: gcf value: 57 value2: 84 result: 3 factors: [1,3,19,57] factors2: [1,2,3,4,6,7,12,14,21,28,42,84] def: <h4 class="mt-3 heading">How do we define GCF?</h4><p>In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (57, 84).</p> props: <li>The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 57 and 84 is 3, where 3 is less than both the numbers.</li><li>If the given numbers are consecutive than GCF is always 1.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</li><li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li> factorsdef: <h4 class="mt-3 heading">How do you explain factors?</h4><p>In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.</p> factorsprops: <li>Every factor of a number is an exact divisor of that number, example 1, 3, 19, 57 are exact divisors of 57 and 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 are exact divisors of 84.</li><li>Every number other than 1 has at least two factors, namely the number itself and 1.</li><li>Each number is a factor of itself. Eg. 57 and 84 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 57 and also of 84.</li> examples: <div class="example-box">Sammy baked 57 chocolate cookies and 84 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?<p>Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 57 and 84.
GCF of 57 and 84 is 3.</p></div><div class="example-box">A class has 57 boys and 84 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?<p>To find the greatest number of students that could be in each row, we need to find the GCF of 57 and 84. Hence, GCF of 57 and 84 is 3.</p></div><div class="example-box">What is the difference between GCF and LCM?<p>Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.</p></div><div class="example-box">Ram has 57 cans of Pepsi and 84 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn’t want to have any can left over. What is the greatest number of tables that Ram can arrange?<p>To find the greatest number of tables that Ram can stock we need to find the GCF of 57 and 84. Hence GCF of 57 and 84 is 3. So the number of tables that can be arranged is 3.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 57 bottles of water and 84 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?<p>The greatest number of boxes Ariel can make would be equal to GCF of 57 and 84. So the GCF of 57 and 84 is 3.</p></div><div class="example-box">Mary has 57 blue buttons and 84 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?<p>Greatest possible way in which Mary can arrange them in groups would be GCF of 57 and 84. Hence, the GCF of 57 and 84 or the greatest arrangement is 3.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 57 maroon balloons, and 84 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?<p>The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 57 and 84. So the GCF of 57 and 84 is 3.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 57 bags of nuts and 84 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?<p>the greatest number of baskets that Kunal can make would be equal to GCF of 57 and 84. So the GCF of 57 and 84 is 3.</p></div><div class="example-box">To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 57 bus tickets and 84 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?<p>To make the greatest number of envelopes Abir needs to find out the GCF of 57 and 84. Hence, GCF of 57 and 84 is 3.</p></div> uservisited: <li> GCF of 30 and 35 </li><li> GCF of 48 and 140 </li><li> GCF of 30 and 45 </li><li> GCF of 8 and 14 </li><li> GCF of 120 and 135 </li><li> GCF of 48 and 81 </li><li> GCF of 48 and 120 </li><li> GCF of 128 and 168 </li><li> GCF of 38 and 49 </li><li> GCF of 42 and 64 </li><li> GCF of 40 and 60 </li><li> GCF of 150 and 225 </li><li> GCF of 147 and 258 </li><li> GCF of 1024 and 2016 </li><li> GCF of 9 and 63 </li><li> GCF of 11 and 20 </li><li> GCF of 17 and 20 </li><li> GCF of 30 and 35 </li><li> GCF of 1024 and 576 </li><li> GCF of 14 and 84 </li><li> GCF of 18 and 96 </li><li> GCF of 15 and 78 </li><li> GCF of 24 and 36 </li><li> GCF of 24 and 66 </li><li> GCF of 16 and 28 </li> —–